GCD of 396, 252, 16, 650 Calculator

Given Input numbers are 396, 252, 16, 650

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 396, 252, 16, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 252, 16, 650 is 2.

Therefore, GCD of numbers 396, 252, 16, 650 is 2

Given Input Data is 396, 252, 16, 650

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(396, 252) = 2772

GCD(396, 252) = ( 396 x 252 ) / 2772

GCD(396, 252) = 99792 / 2772

GCD(396, 252) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(36, 16) = 144

GCD(36, 16) = ( 36 x 16 ) / 144

GCD(36, 16) = 576 / 144

GCD(36, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 650

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 650) = 1300

GCD(4, 650) = ( 4 x 650 ) / 1300

GCD(4, 650) = 2600 / 1300

GCD(4, 650) = 2

GCD of 396, 252, 16, 650 is 2

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1. What is the GCD of 396, 252, 16, 650?

GCD of 396, 252, 16, 650 is 2

2. Where do I get the detailed procedure to find GCD of 396, 252, 16, 650?

You can find a detailed procedure to find GCD of 396, 252, 16, 650 on our page.

3. How to find GCD of 396, 252, 16, 650 on a calculator?

You can find the GCD of 396, 252, 16, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.